Least Common Multiple of 6975/379, 3077/2321

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6975/379, 3077/2321 quickly i.e. 21462075 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6975/379, 3077/2321 is 21462075.

LCM(6975/379, 3077/2321) = 21462075

LCM of 6975/379, 3077/2321

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 6975/379,3077/2321

Given numbers are 6975/379,3077/2321

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 6975,3077

Least Common Multiple of Numerators i.e. LCM of 6975,3077 is 21462075.

GCF of Denominators means GCF of 379,2321 as per the given fractions.

GCF of 379,2321 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6975,3077

LCM of Fractions 6975/379,3077/2321 is 21462075

Given numbers has no common factors except 1. So, there LCM is their product i.e 21462075

Least Common Multiple of 6975,3077 with GCF Formula

Least Common Multiple of 6975,3077 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 6975,3077 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6975,3077) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(6975,3077) x common factors =1 x 1 = 1

LCM(6975,3077) = ( 6975 × 3077 ) / 1

LCM(6975,3077) = 21462075 / 1

LCM(6975,3077) = 21462075


Lets's calculate GCF of 379,2321

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21462075/1

Therefore the LCM of Fractions 6975/379,3077/2321 is 21462075

Greatest Common Factor of 379,2321 By Matching Biggest Common Factor Method

Greatest Common Factor of 379,2321 By Matching Biggest Common Factor Method

Factors of 379

List of positive integer factors of 379 that divides 379 without a remainder.

1,379

Factors of 2321

List of positive integer factors of 2321 that divides 2321 without a remainder.

1,11,211,2321

Greatest Common Factor

We found the factors 379,2321 . The biggest common factor number is the GCF number.
So the greatest common factor 379,2321 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 6975/379, 3077/2321

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 6975/379, 3077/2321?

Answer: LCM of Numerators as per given numbers 6975/379, 3077/2321 is

LCM of Numerators i.e. for 6975,3077 is 21462075

GCF of denominators i.e. for 379,2321 is 1.

Thus, LCM of Fractions is 21462075.Finally, LCM of Fractions for 6975/379, 3077/2321 is 21462075.